Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. identify the values of n, x, p, and q.

Answer with explanation:

We know that the formula for binomial probability :-

, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that consumers are comfortable having drones deliver their purchases = 0.28

The total number of consumers selected = 5

To find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones , we substitute

n=5, x=3 , p=0.28 and q=1-0.28=0.72 in the above formula.

Thus, the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones = 0.1138

step-by-step explanation:

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cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x